Exchangeable Random Networks
Probability
2020-01-09 v2 Statistics Theory
Statistics Theory
Abstract
We introduce and study a class of exchangeable random graph ensembles. They can be used as statistical null models for empirical networks, and as a tool for theoretical investigations. We provide general theorems that carachterize the degree distribution of the ensemble graphs, together with some features that are important for applications, such as subgraph distributions and kernel of the adjacency matrix. These results are used to compare to other models of simple and complex networks. A particular case of directed networks with power-law out--degree is studied in more detail, as an example of the flexibility of the model in applications.
Cite
@article{arxiv.0707.3545,
title = {Exchangeable Random Networks},
author = {F. Bassetti and M. Cosentino Lagomarsino and S. Mandrá},
journal= {arXiv preprint arXiv:0707.3545},
year = {2020}
}
Comments
to appear on "Internet Mathematics"